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Goal congruence analysis in multi-Division Organizations with shared resources based on data envelopment analysis

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  • Ding, Jingjing
  • Dong, Wei
  • Liang, Liang
  • Zhu, Joe

Abstract

In multi-division organizations, goal congruence between different divisions and top management is critical to the success of management. In this paper, drawing upon a nonparametric framework to model production technology, we derive a necessary and sufficient condition for a firm with multiple divisions to be goal-congruent, and then extend it to a goal congruence testing measure, which coincides with a data envelopment analysis (DEA) model. The goal congruence measure not only shows empirically whether the firm is goal-congruent or not, but also provides a measurement for the degree of goal incongruence. To be goal-congruent, resources shared among divisions are suggested to be allocated so that the conditions for an optimizable operation are satisfied. In addition, goal-congruent firms are verified to be cost efficient. All findings in this research are examined and illustrated with a dataset of 20 bank branches with shared resources for service and sales divisions.

Suggested Citation

  • Ding, Jingjing & Dong, Wei & Liang, Liang & Zhu, Joe, 2017. "Goal congruence analysis in multi-Division Organizations with shared resources based on data envelopment analysis," European Journal of Operational Research, Elsevier, vol. 263(3), pages 961-973.
  • Handle: RePEc:eee:ejores:v:263:y:2017:i:3:p:961-973
    DOI: 10.1016/j.ejor.2017.06.040
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    as
    1. Afsharian, Mohsen & Ahn, Heinz & Thanassoulis, Emmanuel, 2017. "A DEA-based incentives system for centrally managed multi-unit organisations," European Journal of Operational Research, Elsevier, vol. 259(2), pages 587-598.
    2. McFadden, Daniel, 1978. "Cost, Revenue, and Profit Functions," Histoy of Economic Thought Chapters, in: Fuss, Melvyn & McFadden, Daniel (ed.),Production Economics: A Dual Approach to Theory and Applications, volume 1, chapter 1, McMaster University Archive for the History of Economic Thought.
    3. Du, Juan & Cook, Wade D. & Liang, Liang & Zhu, Joe, 2014. "Fixed cost and resource allocation based on DEA cross-efficiency," European Journal of Operational Research, Elsevier, vol. 235(1), pages 206-214.
    4. Chien-Ming Chen & Joe Zhu, 2011. "Efficient Resource Allocation via Efficiency Bootstraps: An Application to R&D Project Budgeting," Operations Research, INFORMS, vol. 59(3), pages 729-741, June.
    5. Cook, Wade D. & Kress, Moshe, 1999. "Characterizing an equitable allocation of shared costs: A DEA approach," European Journal of Operational Research, Elsevier, vol. 119(3), pages 652-661, December.
    6. Laurens Cherchye & Bram De Rock & Bart Dierynck & Filip Roodhooft & Jeroen Sabbe, 2013. "Opening the “Black Box” of Efficiency Measurement: Input Allocation in Multioutput Settings," Operations Research, INFORMS, vol. 61(5), pages 1148-1165, October.
    7. Afriat, Sidney N, 1972. "Efficiency Estimation of Production Function," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 13(3), pages 568-598, October.
    8. Nicole Bastian Johnson & Thomas Pfeiffer & Georg Schneider, 2013. "Multistage Capital Budgeting for Shared Investments," Management Science, INFORMS, vol. 59(5), pages 1213-1228, May.
    9. Edwards, Jeffrey R., 1994. "The Study of Congruence in Organizational Behavior Research: Critique and a Proposed Alternative," Organizational Behavior and Human Decision Processes, Elsevier, vol. 58(1), pages 51-100, April.
    10. Brown, Jason L. & Fisher, Joseph G. & Sooy, Matthew & Sprinkle, Geoffrey B., 2014. "The effect of rankings on honesty in budget reporting," Accounting, Organizations and Society, Elsevier, vol. 39(4), pages 237-246.
    11. Laurens Cherchye & Thomas Demuynck & Bram Rock & Kristof Witte, 2014. "Non‐parametric Analysis of Multi‐output Production with Joint Inputs," Economic Journal, Royal Economic Society, vol. 124(577), pages 735-775, June.
    12. Chen, Yao & Du, Juan & David Sherman, H. & Zhu, Joe, 2010. "DEA model with shared resources and efficiency decomposition," European Journal of Operational Research, Elsevier, vol. 207(1), pages 339-349, November.
    13. Baiman, Stanley & Rajan, Madhav V., 2002. "Incentive issues in inter-firm relationships," Accounting, Organizations and Society, Elsevier, vol. 27(3), pages 213-238, April.
    14. Cherchye, Laurens & De Rock, Bram & Walheer, Barnabé, 2016. "Multi-output profit efficiency and directional distance functions," Omega, Elsevier, vol. 61(C), pages 100-109.
    15. Charnes, A. & Cooper, W. W. & Rhodes, E., 1978. "Measuring the efficiency of decision making units," European Journal of Operational Research, Elsevier, vol. 2(6), pages 429-444, November.
    16. M. Harris & C. H. Kriebel & A. Raviv, 1982. "Asymmetric Information, Incentives and Intrafirm Resource Allocation," Management Science, INFORMS, vol. 28(6), pages 604-620, June.
    17. Joe Zhu, 2014. "DEA Cross Efficiency," International Series in Operations Research & Management Science, in: Quantitative Models for Performance Evaluation and Benchmarking, edition 3, chapter 4, pages 61-92, Springer.
    18. Tafvelin, Susanne & von Thiele Schwarz, Ulrica & Hasson, Henna, 2017. "In agreement? Leader-team perceptual distance in organizational learning affects work performance," Journal of Business Research, Elsevier, vol. 75(C), pages 1-7.
    19. Hanoch, Giora & Rothschild, Michael, 1972. "Testing the Assumptions of Production Theory: A Nonparametric Approach," Journal of Political Economy, University of Chicago Press, vol. 80(2), pages 256-275, March-Apr.
    20. Itami, H, 1975. "Evaluation Measures And Goal Congruence Under Uncertainty," Journal of Accounting Research, Wiley Blackwell, vol. 13(1), pages 73-96.
    21. Flamholtz, Eric G. & Das, T. K. & Tsui, Anne S., 1985. "Toward an integrative framework of organizational control," Accounting, Organizations and Society, Elsevier, vol. 10(1), pages 35-50, January.
    22. Wade Cook & Moez Hababou & Hans Tuenter, 2000. "Multicomponent Efficiency Measurement and Shared Inputs in Data Envelopment Analysis: An Application to Sales and Service Performance in Bank Branches," Journal of Productivity Analysis, Springer, vol. 14(3), pages 209-224, November.
    23. R. D. Banker & A. Charnes & W. W. Cooper, 1984. "Some Models for Estimating Technical and Scale Inefficiencies in Data Envelopment Analysis," Management Science, INFORMS, vol. 30(9), pages 1078-1092, September.
    24. Bogetoft, Peter & Hougaard, Jens Leth & Smilgins, Aleksandrs, 2016. "Applied cost allocation: The DEA–Aumann–Shapley approach," European Journal of Operational Research, Elsevier, vol. 254(2), pages 667-678.
    25. Varian, Hal R, 1984. "The Nonparametric Approach to Production Analysis," Econometrica, Econometric Society, vol. 52(3), pages 579-597, May.
    26. Madhav V. Rajan & Stefan Reichelstein, 2004. "ANNIVERSARY ARTICLE: A Perspective on ÜAsymmetric Information, Incentives and Intrafirm Resource AllocationÝ," Management Science, INFORMS, vol. 50(12), pages 1615-1623, December.
    27. Laurens Cherchye & Thomas Demuynck & Bram Rock & Kristof Witte, 2014. "Non‐parametric Analysis of Multi‐output Production with Joint Inputs," Economic Journal, Royal Economic Society, vol. 124(577), pages 735-775, June.
    28. Feng, Chenpeng & Chu, Feng & Ding, Jingjing & Bi, Gongbing & Liang, Liang, 2015. "Carbon Emissions Abatement (CEA) allocation and compensation schemes based on DEA," Omega, Elsevier, vol. 53(C), pages 78-89.
    29. Nehring, Klaus & Puppe, Clemens, 2004. "Modelling cost complementarities in terms of joint production," Journal of Economic Theory, Elsevier, vol. 118(2), pages 252-264, October.
    30. Jingjing Ding & Chenpeng Feng & Gongbing Bi & Liang Liang & M. Khan, 2015. "Cone ratio models with shared resources and nontransparent allocation parameters in network DEA," Journal of Productivity Analysis, Springer, vol. 44(2), pages 137-155, October.
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